{"id":"https://openalex.org/W4414570754","doi":"https://doi.org/10.1007/978-3-032-06085-3_17","title":"Base-Extension Semantics for\u00a0Intuitionistic Modal Logics (Extended Abstract)","display_name":"Base-Extension Semantics for\u00a0Intuitionistic Modal Logics (Extended Abstract)","publication_year":2025,"publication_date":"2025-09-25","ids":{"openalex":"https://openalex.org/W4414570754","doi":"https://doi.org/10.1007/978-3-032-06085-3_17"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-06085-3_17","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-06085-3_17","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_17.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_17.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093876204","display_name":"Yll Buzoku","orcid":"https://orcid.org/0009-0006-9478-6009"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Yll Buzoku","raw_affiliation_strings":["University College London, London, WC1E 6BT, UK"],"affiliations":[{"raw_affiliation_string":"University College London, London, WC1E 6BT, UK","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013218535","display_name":"David Pym","orcid":"https://orcid.org/0000-0002-6504-5838"},"institutions":[{"id":"https://openalex.org/I124357947","display_name":"University of London","ror":"https://ror.org/04cw6st05","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David J. Pym","raw_affiliation_strings":["Institute of Philosophy, University of London, London, WC1H 0AR, UK","University College London, London, WC1E 6BT, UK"],"affiliations":[{"raw_affiliation_string":"Institute of Philosophy, University of London, London, WC1H 0AR, UK","institution_ids":["https://openalex.org/I45129253","https://openalex.org/I124357947"]},{"raw_affiliation_string":"University College London, London, WC1E 6BT, UK","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5093876204"],"corresponding_institution_ids":["https://openalex.org/I45129253"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.42919447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"318","last_page":"334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.8169999718666077},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.7807000279426575},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.5593000054359436},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.5329999923706055},{"id":"https://openalex.org/keywords/proof-theoretic-semantics","display_name":"Proof-theoretic semantics","score":0.5324000120162964},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.520799994468689},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5198000073432922},{"id":"https://openalex.org/keywords/kripke-structure","display_name":"Kripke structure","score":0.4846000075340271},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.4839000105857849},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.4731999933719635}],"concepts":[{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.8169999718666077},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.7807000279426575},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.5593000054359436},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.5329999923706055},{"id":"https://openalex.org/C61151141","wikidata":"https://www.wikidata.org/wiki/Q7249983","display_name":"Proof-theoretic semantics","level":5,"score":0.5324000120162964},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.520799994468689},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5198000073432922},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.51910001039505},{"id":"https://openalex.org/C161913894","wikidata":"https://www.wikidata.org/wiki/Q1077740","display_name":"Kripke structure","level":3,"score":0.4846000075340271},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.4839000105857849},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.4731999933719635},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.4603999853134155},{"id":"https://openalex.org/C192609573","wikidata":"https://www.wikidata.org/wiki/Q7388341","display_name":"S5","level":5,"score":0.44679999351501465},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.4404999911785126},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.43619999289512634},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.4260999858379364},{"id":"https://openalex.org/C78344899","wikidata":"https://www.wikidata.org/wiki/Q638442","display_name":"Modal operator","level":4,"score":0.3971000015735626},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.38359999656677246},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3628000020980835},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35839998722076416},{"id":"https://openalex.org/C46274116","wikidata":"https://www.wikidata.org/wiki/Q185521","display_name":"Truth value","level":2,"score":0.35260000824928284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3467999994754791},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.3375999927520752},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.3305000066757202},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.33009999990463257},{"id":"https://openalex.org/C56949724","wikidata":"https://www.wikidata.org/wiki/Q219079","display_name":"Truth table","level":2,"score":0.32739999890327454},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32339999079704285},{"id":"https://openalex.org/C34849589","wikidata":"https://www.wikidata.org/wiki/Q4345785","display_name":"Atomic sentence","level":3,"score":0.31380000710487366},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.31360000371932983},{"id":"https://openalex.org/C2780876879","wikidata":"https://www.wikidata.org/wiki/Q3054749","display_name":"Meaning (existential)","level":2,"score":0.30320000648498535},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.2906999886035919},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2890999913215637},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.2800000011920929},{"id":"https://openalex.org/C136172866","wikidata":"https://www.wikidata.org/wiki/Q1088088","display_name":"Possible world","level":2,"score":0.2628999948501587},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C134752490","wikidata":"https://www.wikidata.org/wiki/Q374182","display_name":"Logical consequence","level":2,"score":0.25380000472068787},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.25279998779296875},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-032-06085-3_17","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-06085-3_17","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_17.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:10216616","is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10216616/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"In:  Automated Reasoning with Analytic Tableaux and Related Methods. TABLEAUX 2025.  (pp. pp. 318-334).  Springer, Cham (2026)","raw_type":"Proceedings paper"}],"best_oa_location":{"id":"doi:10.1007/978-3-032-06085-3_17","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-06085-3_17","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_17.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414570754.pdf","grobid_xml":"https://content.openalex.org/works/W4414570754.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1557413548","https://openalex.org/W1606166967","https://openalex.org/W2065329989","https://openalex.org/W2223596223","https://openalex.org/W2277133989","https://openalex.org/W4230472631","https://openalex.org/W4251395411","https://openalex.org/W4318620139","https://openalex.org/W4386708734","https://openalex.org/W4392350155","https://openalex.org/W4396616927","https://openalex.org/W4398338582","https://openalex.org/W4405287259","https://openalex.org/W4405920012","https://openalex.org/W4406226637","https://openalex.org/W4408426487"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"The":[1,54],"proof":[2],"theory":[3],"and":[4,23,76,99,133],"semantics":[5,30,59,90],"of":[6,17,41,47,62,65,69,84,97,113],"intuitionistic":[7,125],"modal":[8,126],"logics":[9,127],"have":[10],"been":[11],"studied":[12],"by":[13,33],"Simpson":[14],"in":[15,43,57,110,116],"terms":[16],"Prawitz-style":[18],"labelled":[19],"natural":[20,140],"deduction":[21,141],"systems":[22],"Kripke":[24,105],"models.":[25],"An":[26],"alternative":[27],"to":[28,73,104,138],"model-theoretic":[29],"is":[31,37,49,60,92,108],"provided":[32],"proof-theoretic":[34,58,85],"semantics,":[35,86],"which":[36,44,70],"a":[38,63,101,117],"logical":[39,79],"realization":[40],"inferentialism,":[42],"the":[45,95,111],"meaning":[46],"constructs":[48],"understood":[50],"through":[51],"their":[52],"use.":[53],"key":[55],"idea":[56],"that":[61,107],"base":[64],"atomic":[66,114],"rules,":[67],"all":[68],"refer":[71],"only":[72],"propositional":[74],"atoms":[75],"involve":[77],"no":[78],"connectives.":[80],"A":[81],"specific":[82],"form":[83],"known":[87],"as":[88],"base-extension":[89],"(B-eS),":[91],"concerned":[93],"with":[94,136],"validity":[96],"formulae":[98,115],"provides":[100],"direct":[102],"counterpart":[103],"models":[106],"grounded":[109],"provability":[112],"base.":[118],"We":[119],"establish,":[120],"systematically,":[121,130],"B-eS":[122],"for":[123],"Simpson\u2019s":[124,139],"and,":[128],"also":[129],"obtain":[131],"soundness":[132],"completeness":[134],"theorems":[135],"respect":[137],"systems.":[142]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}